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Results tagged with spin-geometry
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user 496509
For questions about spin manifolds, the groups $\operatorname{Spin}(n)$, as well as generalisations such as $\operatorname{Pin}^{\pm}(n)$ and $\operatorname{Spin}^c(n)$. This tag should also be used for any questions about the geometry of spin manifolds, including questions involving Dirac operators and the Lichnerowicz formula.
2
votes
1
answer
251
views
Necessary and sufficient conditions for pseudo Riemannian manifold to be time orientable
It is well known that a smooth manifold $M$ is orientable if the first Stiefel-Whitney class of the tangent bundle vanishes. In particular, this implies that if $M$ is equipped with a pseudo-Riemannia …
- 391
1
vote
1
answer
321
views
Uniqueness of spinor representation
$\DeclareMathOperator\SU{SU}\DeclareMathOperator\SO{SO}\DeclareMathOperator\GL{GL}$I asked a similar question on math stack exchange here, but I wonder if it may be better received here.
Let $n$ be ev …
- 391
3
votes
1
answer
344
views
Existence (or non existence) of principal bundle charts compatible with an $f$-reduction
I asked this question on math stack exchange here, but I wonder if it would be better received here.
Let $\pi:P\rightarrow M$ and $\pi':P'\rightarrow M$ be principal $G$ and $H$ bundles respectively, …
- 391